On the eventual stability of asymptotically autonomous systems with constraints

On the eventual stability of asymptotically autonomous systems with constraints
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DOI:
10.3934/dcdsb.2019127
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发表时间:
2019-06
期刊:
Discrete & Continuous Dynamical Systems - B
影响因子:
--
通讯作者:
J. Bai;Xuewei Ju;Desheng Li;Xiulian Wang
J. Bai;Xuewei Ju;Desheng Li;Xiulian Wang
中科院分区:
其他
文献类型:
--
作者:
J. Bai;Xuewei Ju;Desheng Li;Xiulian Wang

文献摘要

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本文首先给出了带约束自治系统平衡解稳定性的一个判据。然后讨论了带约束的渐近自治系统的渐近性态与其极限系统的渐近性态之间的关系。最后,作为一个例子,我们回顾了文献中提出的一个极端意识形态模型,并对系统的动力学进行了更详细的描述。
In this paper we first give a criterion on stability of equilibrium solutions for autonomous systems with constraints. Then we discuss the relationship between asymptotic behaviors of an asymptotically autonomous system with constraint and its limit system. Finally as an example, we revisit an extreme ideology model proposed in the literature and give a more detailed description on the dynamics of the system.